(2+w)(4w+6)=0

Solution for (2+w)(4w+6)=0 equation:

(2+w)(4w+6)=0

We add all the numbers together, and all the variables

(w+2)(4w+6)=0

We multiply parentheses ..

(+4w^2+6w+8w+12)=0

We get rid of parentheses

4w^2+6w+8w+12=0

We add all the numbers together, and all the variables

4w^2+14w+12=0

a = 4; b = 14; c = +12;
Δ = b2-4ac
Δ = 142-4·4·12
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-2}{2*4}=\frac{-16}{8}
=-2
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+2}{2*4}=\frac{-12}{8}
=-1+1/2
$